Synthesis of Watt-Type Timed Curve Generators and Selection From Continuous Cognate Spaces
Synthesis of Watt-Type Timed Curve Generators and Selection From Continuous Cognate Spaces
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瓦特型时间曲线发生器的综合及连续同源空间的选择
DOI：
10.1115/1.4050197
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Plecnik, Mark
中科院分区：
文献类型：
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作者：
Baskar, Aravind;Plecnik, Mark
根据Stephenson型机构的最新研究成果，建立了作为时间曲线发生器的Watt六杆机构的综合方程，并进行了系统的求解。通过将致动器和末端执行器分配到不同的连杆上，该问题会出现四种变化。该方法产生精确的合成机制高达八个精度点。多项式系统的制定和他们的最大数量的解决方案估计使用随机单值回路的算法。瓦特定时曲线发生器的某些变化具有不影响输出运动的自由参数，表明同源机制的连续空间。包装的紧凑性，间隙和尺寸灵敏度的特点是跨同源空间，以说明权衡，并在最终机制的选择援助。
Following recent work on Stephenson-type mechanisms, the synthesis equations of Watt six-bar mechanisms that act as timed curve generators are formulated and systematically solved. Four variations of the problem arise by assigning the actuator and end effector onto different links. The approach produces exact synthesis of mechanisms up to eight precision points. Polynomial systems are formulated and their maximum number of solutions is estimated using the algorithm of random monodromy loops. Certain variations of Watt timed curve generators possess free parameters that do not affect the output motion, indicating a continuous space of cognate mechanisms. Packaging compactness, clearance, and dimensional sensitivity are characterized across the cognate space to illustrate trade-offs and aid in selection of a final mechanism.